Zobrazeno 1 - 10
of 158
pro vyhledávání: '"Schleimer, Saul"'
In previous work we showed that for a manifold $M$, whose universal cover has infinitely many boundary components, the set of essential ideal triangulations of $M$ is connected via 2-3, 3-2, 0-2, and 2-0 moves. Here we show that this set is also conn
Externí odkaz:
http://arxiv.org/abs/2407.16509
Suppose that $M$ is a compact, connected three-manifold with boundary. We show that if the universal cover has infinitely many boundary components then $M$ has an ideal triangulation which is essential: no edge can be homotoped into the boundary. Und
Externí odkaz:
http://arxiv.org/abs/2405.03539
This paper employs knot invariants and results from hyperbolic geometry to develop a practical procedure for checking the cosmetic surgery conjecture on any given one-cusped manifold. This procedure has been used to establish the following computatio
Externí odkaz:
http://arxiv.org/abs/2403.10448
Autor:
Schleimer, Saul, Segerman, Henry
From a transverse veering triangulation (not necessarily finite) we produce a canonically associated dynamic pair of branched surfaces. As a key idea in the proof, we introduce the shearing decomposition of a veering triangulation.
Comment: 79 p
Comment: 79 p
Externí odkaz:
http://arxiv.org/abs/2305.08799
We show that, for hyperbolic fibred knots in the three-sphere, the volume and the genus are unrelated. Furthermore, for such knots, the volume is unrelated to strong quasipositivity and Seifert form.
Comment: 6 pages, 1 figure - v3, author-final
Comment: 6 pages, 1 figure - v3, author-final
Externí odkaz:
http://arxiv.org/abs/2208.02358
Autor:
Lackenby, Marc, Schleimer, Saul
We show that the problem of deciding whether a closed three-manifold admits an elliptic structure lies in NP. Furthermore, determining the homeomorphism type of an elliptic manifold lies in the complexity class FNP. These are both consequences of the
Externí odkaz:
http://arxiv.org/abs/2205.08802
Autor:
Fujiwara, Koji, Schleimer, Saul
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 2655-2672
We give quadratic upper bounds for the asymptotic dimensions of the arc graphs and disk graphs.
Comment: 20 pages, no figures, v3 small changes to address referee comments
Comment: 20 pages, no figures, v3 small changes to address referee comments
Externí odkaz:
http://arxiv.org/abs/2204.10554
Autor:
Schleimer, Saul, Segerman, Henry
We introduce loom spaces, a generalisation of both the leaf spaces associated to pseudo-Anosov flows and the link spaces associated to veering triangulations. Following work of Gu\'eritaud, we prove that there is a locally veering triangulation canon
Externí odkaz:
http://arxiv.org/abs/2108.10264
Autor:
Burton, Benjamin A., Chang, Hsien-Chih, Löffler, Maarten, de Mesmay, Arnaud, Maria, Clément, Schleimer, Saul, Sedgwick, Eric, Spreer, Jonathan
We present three "hard" diagrams of the unknot. They require (at least) three extra crossings before they can be simplified to the trivial unknot diagram via Reidemeister moves in $\mathbb{S}^2$. Both examples are constructed by applying previously p
Externí odkaz:
http://arxiv.org/abs/2104.14076
Publikováno v:
Comment. Math. Helv. 97 (2022), Issue 3, 457-512
We give effective bilipschitz bounds on the change in metric between thick parts of a cusped hyperbolic 3-manifold and its long Dehn fillings. In the thin parts of the manifold, we give effective bounds on the change in complex length of a short clos
Externí odkaz:
http://arxiv.org/abs/2104.09983